Bayesian Reimaging of Sparsity in Inverse Problems - SIAM-IS Virtual Seminar

Bayesian Reimaging of Sparsity in Inverse Problems - SIAM-IS Virtual Seminar

Society for Industrial and Applied Mathematics via YouTube Direct link

Computed example: 1D test

17 of 22

17 of 22

Computed example: 1D test

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Bayesian Reimaging of Sparsity in Inverse Problems - SIAM-IS Virtual Seminar

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  1. 1 Intro
  2. 2 Linear Sparse Inverse Problems
  3. 3 Sparsity as a Belief
  4. 4 Sparsity in a Bayesian Way
  5. 5 Sparsity promoting priors
  6. 6 Hierarchical prior model for sparsity
  7. 7 The Bayesian solution is the posterior
  8. 8 Iterated Alternating Sequential (IAS) algorithm
  9. 9 IAS algorithm for Generalized Gamma hyperpriors
  10. 10 Approximate IAS and reduced model: the x update
  11. 11 The Gamma hyperprior (r = 1)
  12. 12 From Gamma to Generalized Gamma hyperprior
  13. 13 Convexity region
  14. 14 Special Generalized Gamma hyperpriors
  15. 15 Global Hybrid IAS
  16. 16 Support of the signal the meaning of
  17. 17 Computed example: 1D test
  18. 18 Computed examples: starry night
  19. 19 Dictionary Learning
  20. 20 MNIST Data: Handwritten digits
  21. 21 MNIST Dataset example: mismatch noise 0.01
  22. 22 MNIST Dataset: mismatch noise 0.05

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